Q. 5

Expert-verifiedFound in: Page 990

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

A light ray leaves point in FIGURE EX34.5, reflects from the mirror, and reaches point . How far below the top edge does the ray strike the mirror?

Distance from the top edge strike the mirror,

According to the law of reflection,

The incident and reflected rays are parallel to the surface and in the same plane.

The incidence angle is the same as the reflection angle:

As seen in FIGURE 34.5, a light beam travels from point A to point B after reflecting off a mirror.

The distance between the top of the mirror and the point where the ray strikes the mirror must be calculated.

We can see from the green-shaded triangle that the tangent of angle is

We can see from the yellow shaded triangle that the tangent of angle is

, according to the law of reflection, therefore

Rearrange the equations and solve for .

The figure's geometry and the distance from top edge, where the light impacts the mirror

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